Answer:
[1] Let's make the problem easier to start. Imagine that they had said to find the area of a sector bounded by a 360* arc (the whole circle). Could we have found the area then?
Sure we could! We know that A = pi*r^2, so that would just be:
A = pi*(6)^2 = 36*pi sq. miles.
Easy. But of course, we weren't so lucky... they want 135*... drat!
[2] Well, let's get a little closer, could we find the area if the angle was 180*? Sure! That's just half the circle. After all:
180*/360* = 1/2.
We know the whole circle is 36*pi sq. miles. So, the area bounded by a 180* arc would just be half of this: 18*pi sq. miles.
"But that's not the question," you scream!! Alright, alright, calm down... let's bring it all together.
[3] We know the area of the whole circle [1]. We also know that if we can figure out the fraction of the circle the problem is easy [2]. So, what fraction of a circle would match an arc of 135*?
Well, we can see that
135*/360* = 0.375 or 3/8
So the area is just 0.375 of the whole circle:
0.375* 36*pi sq. miles = 13.5*pi sq. miles
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Answer:
a=7.14yd
Step-by-step explanation:
process same as in above question
Answer:
- 27 hot dogs
- 13 bags of popcorn
Step-by-step explanation:
Had all received popcorn, the bill would have been 40×$1.75 = $70. The bill was $13.50 more than that. Each hot dog purchased in place of popcorn adds $0.50 to the bill, so the number of hot dogs must be ...
$13.50/$0.50 = 27
Of course, the remainder of the 40 items were popcorn, so 13 bags of popcorn.
27 hot dogs and 13 bags of popcorn were purchased.
Answer:
y=2x+15
Step-by-step explanation:
h=9
Answer:
D. Associative Property
Step-by-step explanation:
The group is being switched around.
